Last updated on May 29th, 2025
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 371.
A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times.
When you cube a positive number, the result is always positive.
When you cube a negative number, the result is always negative.
This is because a negative number by itself three times results in a negative number.
The cube of 371 can be written as 371³, which is the exponential form.
Or it can also be written in arithmetic form as 371 × 371 × 371.
In order to check whether a number is a cube number or not, we can use the following three methods, such as multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of two numbers or quantities by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number. 371³ = 371 × 371 × 371
Step 2: You get 51,236,611 as the answer. Hence, the cube of 371 is 51,236,611.
The formula \((a + b)³\) is a binomial formula for finding the cube of a number. The formula is expanded as \(a³ + 3a²b + 3ab² + b³\).
Step 1: Split the number 371 into two parts, as 300 and 71. Let a = 300 and b = 71, so a + b = 371
Step 2: Now, apply the formula \((a + b)³ = a³ + 3a²b + 3ab² + b³\)
Step 3: Calculate each term \(a³ = 300³\) \(3a²b = 3 × 300² × 71\) \(3ab² = 3 × 300 × 71²\) \(b³ = 71³\)
Step 4: Add all the terms together: \((a + b)³ = a³ + 3a²b + 3ab² + b³\) \((300 + 71)³ = 300³ + 3 × 300² × 71 + 3 × 300 × 71² + 71³\) \(371³ = 27,000,000 + 19,170,000 + 4,533,000 + 357,911\) \(371³ = 51,236,611\)
Step 5: Hence, the cube of 371 is 51,236,611.
To find the cube of 371 using a calculator, input the number 371 and use the cube function (if available) or multiply 371 × 371 × 371. This operation calculates the value of 371³, resulting in 51,236,611. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 7 and 1
Step 3: If the calculator has a cube function, press it to calculate 371³.
Step 4: If there is no cube function on the calculator, simply multiply 371 three times manually.
Step 5: The calculator will display 51,236,611.
There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:
What is the cube and cube root of 371?
The cube of 371 is 51,236,611 and the cube root of 371 is approximately 7.165.
First, let’s find the cube of 371.
We know that cube of a number, such that x³ = y
Where x is the given number, and y is the cubed value of that number
So, we get 371³ = 51,236,611 Next, we must find the cube root of 371
We know that the cube root of a number ‘x’, such that ∛x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ∛371 ≈ 7.165
Hence, the cube of 371 is 51,236,611 and the cube root of 371 is approximately 7.165.
If the side length of the cube is 371 cm, what is the volume?
The volume is 51,236,611 cm³.
Use the volume formula for a cube V = Side³.
Substitute 371 for the side length: V = 371³ = 51,236,611 cm³.
How much larger is 371³ than 300³?
371³ – 300³ = 24,236,611.
First find the cube of 371³, that is 51,236,611
Next, find the cube of 300³, which is 27,000,000
Now, find the difference between them using the subtraction method. 51,236,611 – 27,000,000 = 24,236,611
Therefore, 371³ is 24,236,611 larger than 300³.
If a cube with a side length of 371 cm is compared to a cube with a side length of 71 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 371 cm is 51,236,611 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 371 means multiplying 371 by itself three times: 371 × 371 = 137,641, and then 137,641 × 371 = 51,236,611.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 51,236,611 cm³.
Estimate the cube 370 using the cube 371.
The cube of 370 is approximately 50,653,000.
First, identify the cube of 371,
The cube of 371 is 371³ = 51,236,611.
Since 370 is only slightly less than 371, the cube of 370 will be slightly less than the cube of 371.
The cube of 370 is approximately 50,653,000 because the difference between 370 and 371 is minimal.
So, we can approximate the value as 50,653,000.
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
: He loves to play the quiz with kids through algebra to make kids love it.